@Article{Nowroozi2014,
author="Nowroozi, Farzaneh
and Ghorbani, Modjtaba",
title="On the spectrum of Cayley graphs via character table",
journal="Journal of Mathematical Nanoscience",
year="2014",
volume="4",
number="1-2",
pages="1-11",
abstract="A Cayley graph can be consider as an interpretation of group representation. This means that one can construct the Cayley graph Г = Cay(G, S) by having the vertex set to be the elements of G with g~h if and only if hg-1 ε S. In this paper, we focus our attention on Cayley graphs with a normal symmetric subset. We also determine all eigenvalues of Buckminster fullerene by constructing Cay(G,S) where G is the alternating group A5.",
issn="2538-2314",
doi="10.22061/jmns.2014.477",
url="http://jmathnano.sru.ac.ir/article_477.html"
}
@Article{Sharafdini2014,
author="Sharafdini, Reza",
title="Augmented eccentric connectivity index of Fullerenes",
journal="Journal of Mathematical Nanoscience",
year="2014",
volume="4",
number="1-2",
pages="13-18",
abstract="Fullerenes are carbon-cage molecules in which a number of carbon atoms are bonded in a nearly spherical configuration. The augmented eccentric connectivity index of graph G is defined as £(G)=∑u εV(G)M(u)ε(u)-1, where ε(u) is defined as the length of a maximal path connecting u to another vertex of G and M(u) denotes the product of degrees of all eighbors of vertex u. In the present paper , we compute the augmented eccentric connectivity index of two classes of fullerenes C12n+2 and C20n+40.",
issn="2538-2314",
doi="10.22061/jmns.2014.478",
url="http://jmathnano.sru.ac.ir/article_478.html"
}
@Article{Hakimi-Nezhaad2014,
author="Hakimi-Nezhaad, Mardjan
and Ghorbani, Modjtaba",
title="Differences between Wiener and modified Wiener indices",
journal="Journal of Mathematical Nanoscience",
year="2014",
volume="4",
number="1-2",
pages="19-25",
abstract="The Wiener index is the oldest topological index introduced by H. Wiener for anticipating the boiling point of Paraffin and some other alkenes. An algebraic approach for generalizing the Wiener index is proposed by Graovac and Pisanski for the first time. In this paper, we compute the difference between these topological indices for a class of fullerene graphs.",
issn="2538-2314",
doi="10.22061/jmns.2014.479",
url="http://jmathnano.sru.ac.ir/article_479.html"
}
@Article{Ghorbani2014,
author="Ghorbani, Tayebeh",
title="Computing the energy of small fullerenes",
journal="Journal of Mathematical Nanoscience",
year="2014",
volume="4",
number="1-2",
pages="27-36",
abstract="The concept of energy of graph is defined in 1978 by Ivan Gutman as the sum of the absolute values of the eigenvalues of a graph. In this article we estimate the energy of small fullerenes.",
issn="2538-2314",
doi="10.22061/jmns.2014.481",
url="http://jmathnano.sru.ac.ir/article_481.html"
}
@Article{Jalali-Rad2014,
author="Jalali-Rad, Maryam",
title="On the Zagreb indices of overfull molecular graphs",
journal="Journal of Mathematical Nanoscience",
year="2014",
volume="4",
number="1-2",
pages="37-44",
abstract="Let G be a connected graph on n vertices. An overfull graph is a graph whose number of its edges is greater than Δ × [n/2], where Δ is the maximum degree of vertices in G. In this paper, we compute the Zagreb indices of overfull molecular graphs.",
issn="2538-2314",
doi="10.22061/jmns.2014.482",
url="http://jmathnano.sru.ac.ir/article_482.html"
}
@Article{Zangi2014,
author="Zangi, Samaneh",
title="Spectral properties of some matrices related to topological indices",
journal="Journal of Mathematical Nanoscience",
year="2014",
volume="4",
number="1-2",
pages="45-50",
abstract="A topological index is a kind of molecular descriptor which anticipates some properties of chemical compound. The aim of this paper is to compute the spectrum of PA adjacency matrix associated to a well-known topological index.",
issn="2538-2314",
doi="10.22061/jmns.2014.668",
url="http://jmathnano.sru.ac.ir/article_668.html"
}